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Finding the Fourth Proportional to 1,379.44, 1,903.98 and 855.17

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Solution

The fourth proportional to 1,379.44, 1,903.98 and 855.17 is: 1,180.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.44 : 1,903.98 = 855.17 : x
  2. Step 2: Convert to fraction form
    1,379.44/1,903.98 = 855.17/x
  3. Step 3: Cross multiply
    1,379.44x = 1,903.98 × 855.17
  4. Step 4: Simplify right side
    1,379.44x = 1,628,226.58
  5. Step 5: Solve for x
    x = 1,628,226.58/1,379.44
  6. Step 6: Final answer
    x = 1,180.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.